Home / 1,707.18-2,558.40-780.42

Finding the Fourth Proportional to 1,707.18, 2,558.40 and 780.42

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Solution

The fourth proportional to 1,707.18, 2,558.40 and 780.42 is: 1,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.18 : 2,558.40 = 780.42 : x
  2. Step 2: Convert to fraction form
    1,707.18/2,558.40 = 780.42/x
  3. Step 3: Cross multiply
    1,707.18x = 2,558.40 × 780.42
  4. Step 4: Simplify right side
    1,707.18x = 1,996,626.53
  5. Step 5: Solve for x
    x = 1,996,626.53/1,707.18
  6. Step 6: Final answer
    x = 1,169.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.